Abstract
The presence of time delays in dynamical systems may induce complex behavior, and this behavior is not always intuitive. Even if a system’s equation is scalar, oscillations may occur. Time delays in control loops are usually associated with degradation of performance and robustness, but, at the same time, there are situations where time delays are used as controller parameters. In the chapter, basis properties of time-delay systems are described, and an overview of delay effects in control systems is presented.
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Acknowledgements
The author received funding from the project C14/17/072 of the KU Leuven Research Council, the project G0A5317N of the Research Foundation-Flanders (FWO - Vlaanderen), and from the project UCoCoS, funded by the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No 675080.
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Michiels, W. (2021). Control of Linear Systems with Delays. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_16
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DOI: https://doi.org/10.1007/978-3-030-44184-5_16
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